Question

Y = 3x + 8 8x + 4y = 12

Answer 1

Answer: good luck

Step-by-step explanation:Step 1) Because the first equation is already solved for

y

we can substitute

3

x

+

8

for

y

in the second equation and solve for

x

:

8

x

+

4

y

=

12

becomes:

8

x

+

4

(

3

x

+

8

)

=

12

8

x

+

(

4

⋅

3

x

)

+

(

4

⋅

8

)

=

12

8

x

+

12

x

+

32

=

12

(

8

+

12

)

x

+

32

=

12

20

x

+

32

=

12

20

x

+

32

−

32

=

12

−

32

20

x

+

0

=

−

20

20

x

=

−

20

20

x

20

=

−

20

20

20

x

20

=

−

1

x

=

−

1

Step 2) Substitute

−

1

for

x

in the first equation and calculate

y

:

y

=

3

x

+

8

becomes:

y

=

(

3

⋅

−

1

)

+

8

y

=

−

3

+

8

y

=

5

The solution is:

x

=

−

1

and

y

=

5

or

(

−

1

,

5

)